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Finding the Third Proportional to 221,723 and 476,661

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Solution

The third proportional to 221,723 and 476,661 is: 1,024,727.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,723 : 476,661 = 476,661 : x
  2. Step 2: Convert to fraction form
    221,723/476,661 = 476,661/x
  3. Step 3: Cross multiply
    221,723x = 476,661 × 476,661
  4. Step 4: Simplify right side
    221,723x = 227,205,708,921
  5. Step 5: Solve for x
    x = 227,205,708,921/221,723
  6. Step 6: Final answer
    x = 1,024,727.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.